Atkin-Lehner |
2+ 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270br |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-133478211636000 = -1 · 25 · 36 · 53 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31798,-2254744] |
[a1,a2,a3,a4,a6] |
j |
-3555523011373646041/133478211636000 |
j-invariant |
L |
3.2106130392374 |
L(r)(E,1)/r! |
Ω |
0.17836739107077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
117810dn1 |
Quadratic twists by: -3 |